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Texas A&M University


Date: November 1, 2023

Time: 6:00PM - 7:00PM

Location: BLOC 302

Speaker: Jonas Lührmann, Texas A&M University


Title: Dispersive Waves and Solitons

Abstract: From the dynamics of quantum particles to the propagation of electromagnetic radiation and gravitational waves, nonlinear waves are everywhere in nature. Mathematically, such wave propagation phenomena can be described in terms of nonlinear dispersive and hyperbolic partial differential equations. Their solutions can exhibit different behaviors: some waves spread out, other waves form coherent structures, often called solitons, and yet other waves collapse.

In this talk I will first explain how linear dispersive waves typically behave. Then I will talk about the historic origins of a remarkable nonlinear phenomenon, namely the existence of solitons. Finally, I will discuss the fundamental role that radiation (linear dispersive waves) and solitons play for the long-time dynamics of nonlinear dispersive equations.